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Finding the Fourth Proportional to 149.71, 224.57 and 58.48

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Solution

The fourth proportional to 149.71, 224.57 and 58.48 is: 87.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.71 : 224.57 = 58.48 : x
  2. Step 2: Convert to fraction form
    149.71/224.57 = 58.48/x
  3. Step 3: Cross multiply
    149.71x = 224.57 × 58.48
  4. Step 4: Simplify right side
    149.71x = 13,132.85
  5. Step 5: Solve for x
    x = 13,132.85/149.71
  6. Step 6: Final answer
    x = 87.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.